Cremona's table of elliptic curves

966 = 2 · 3 · 7 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 23-	Signs for the Atkin-Lehner involutions
Class	966f	Isogeny class
Conductor	966	Conductor
∏ cp	144	Product of Tamagawa factors cp
deg	4800	Modular degree for the optimal curve
Δ	-324440155855872 = -1 · 210 · 312 · 72 · 233	Discriminant
Eigenvalues	2+ 3-  0 7-  6  2 -6  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,4644,858394]	[a1,a2,a3,a4,a6]
j	11079872671250375/324440155855872	j-invariant
L	1.6331169365511	L(r)(E,1)/r!
Ω	0.40827923413777	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	7728h1 30912n1 2898p1 24150bo1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 966f1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	-	0	-	6	2	-6	2	-	-6	8	8	6	2	0	-12	0	8	-10	0	14	8	6	6	-10

---

Quadratic twists for elliptic curve 966f1

-4	8	-3	5	-7	-11	-23
7728h1	30912n1	2898p1	24150bo1	6762f1	116886bo1	22218k1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations